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The vibroacoustic method of device diagnostics is most often based on spectrum analysis of digitally recorded vibration signal of their mechanical elements. In the steady-state, depending on the test object, the signal may contain only fundamental frequency and harmonics. Then, in case of poor mechanical condition, diagnostic signal contains also some foreign frequencies. Using signal of finite length...
In this work, we design a set of complete orthonormal optimal basis functions for signals defined on the ball. We design the basis functions by maximizing the product of their energy concentration in some spatial region and that in some spectral region. The optimal basis functions are designed as a linear combination of space-limited functions with maximal concentration in the spectral region and...
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